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Finding the Fourth Proportional to 137,553.98, 206,349.33 and 54,428.54

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Solution

The fourth proportional to 137,553.98, 206,349.33 and 54,428.54 is: 81,650.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,553.98 : 206,349.33 = 54,428.54 : x
  2. Step 2: Convert to fraction form
    137,553.98/206,349.33 = 54,428.54/x
  3. Step 3: Cross multiply
    137,553.98x = 206,349.33 × 54,428.54
  4. Step 4: Simplify right side
    137,553.98x = 11,231,292,761.88
  5. Step 5: Solve for x
    x = 11,231,292,761.88/137,553.98
  6. Step 6: Final answer
    x = 81,650.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.